Question

The ball will reach at the bottom of the vessel:

• A. in 1 s
• B. in 2 s
• C. in 0.5 s
• D. the ball will not reach at the bottom of the vessel

Answer 1

The correct option is A in 1 s

Since the ball is released from rest from top of the vessel, the distance between the point of zero velocity and equilibrium position, i.e., $\frac{h_0}{2}$ becomes the amplitude of the simple harmonic motion with time period 2s.

• The bottom of the vessel is at a distance of $\frac{h_0}{2}$ from the equilibrium position=Amplitude.Thus it is another extremum position.
• Hence time taken is half the time period=1s.